Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves
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[1] 김정기,et al. Propagation , 1994, Encyclopedia of Evolutionary Psychological Science.
[2] E. Zuazua,et al. The rate at which energy decays in a string damped at one end , 1995 .
[3] Antoine Henrot,et al. A Spillover Phenomenon in the Optimal Location of Actuators , 2005, SIAM J. Control. Optim..
[4] ELI TURKEL,et al. A CARTESIAN PERFECTLY MATCHED LAYER FOR THE HELMHOLTZ EQUATION , 2022 .
[5] I. Singer,et al. A perfectly matched layer for the Helmholtz equation in a semi-infinite strip , 2004 .
[6] Fabricio Maciá Lang. Propagación y control de vibraciones en medios discretos y continuos , 2002 .
[7] S. Tsynkov. Numerical solution of problems on unbounded domains. a review , 1998 .
[8] E. Zuazua. Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square , 1999 .
[9] Peter Monk,et al. The Perfectly Matched Layer in Curvilinear Coordinates , 1998, SIAM J. Sci. Comput..
[10] Patrick Joly,et al. Stability of perfectly matched layers, group velocities and anisotropic waves , 2003 .
[11] Alfredo Bermúdez,et al. An exact bounded PML for the Helmholtz equation , 2004 .
[12] F. Hu. Absorbing Boundary Conditions , 2004 .
[13] Joseph E. Pasciak,et al. Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem , 2008, Math. Comput..
[14] A. Majda,et al. Absorbing boundary conditions for the numerical simulation of waves , 1977 .
[15] Fabricio Macià. The Effect of Group Velocity in the Numerical Analysis of Control Problems for the Wave Equation , 2003 .
[16] D. Gottlieb,et al. Regular Article: Well-posed Perfectly Matched Layers for Advective Acoustics , 1999 .
[17] Patrick Joly,et al. Mathematical Modelling and Numerical Analysis on the Analysis of B ´ Erenger's Perfectly Matched Layers for Maxwell's Equations , 2022 .
[18] S. Gedney,et al. On the long-time behavior of unsplit perfectly matched layers , 2004, IEEE Transactions on Antennas and Propagation.
[19] D. L. Russell. Review: J.-L. Lions, Controlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués , 1990 .
[20] David Gottlieb,et al. On the construction and analysis of absorbing layers in CEM , 1998 .
[21] A. Bermúdez,et al. Numerical simulation of time-harmonic scattering problems with an optimal PML , 2006 .
[22] Enrique Zuazua,et al. Boundary observability for the space-discretizations of the 1 — d wave equation , 1998 .
[23] R. Glowinski. Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation , 1992 .
[24] G. Lebeau,et al. Equation des Ondes Amorties , 1996 .
[25] Carlos Castro,et al. Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method , 2006, Numerische Mathematik.
[26] Enrique Zuazua,et al. A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence , 2005 .
[27] Jacques-Louis Lions. Contrôlabilite exacte et homogénéisation (I) , 1988 .
[28] E. Zuazua,et al. The rate at which energy decays in a damped String , 1994 .
[29] H. Banks,et al. Exponentially stable approximations of weakly damped wave equations , 1991 .
[30] Alfredo Bermúdez,et al. An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems , 2007, J. Comput. Phys..
[31] L. Trefethen. Group velocity in finite difference schemes , 1981 .
[32] Carlos Castro,et al. Achieving Arbitrarily Large Decay in the Damped Wave Equation , 2001, SIAM J. Control. Optim..
[33] Enrique Zuazua,et al. Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods , 2005, SIAM Rev..
[34] E. Turkel,et al. Absorbing PML boundary layers for wave-like equations , 1998 .
[35] David Gottlieb,et al. A Mathematical Analysis of the PML Method , 1997 .
[36] Jean-Pierre Berenger,et al. A perfectly matched layer for the absorption of electromagnetic waves , 1994 .
[37] R. Young,et al. An introduction to nonharmonic Fourier series , 1980 .
[38] M. Gunzburger,et al. Boundary conditions for the numerical solution of elliptic equations in exterior regions , 1982 .
[39] Matti Lassas,et al. On the existence and convergence of the solution of PML equations , 1998, Computing.
[40] Louis Roder Tcheugoué Tébou,et al. Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity , 2003, Numerische Mathematik.
[41] Jacques-Louis Lions,et al. Well-posed absorbing layer for hyperbolic problems , 2002, Numerische Mathematik.
[42] Peter G. Petropoulos,et al. Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates , 2000, SIAM J. Appl. Math..
[43] Gunilla Kreiss,et al. Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well-posedness, and Stability , 2006, SIAM J. Appl. Math..
[44] A. Bermúdez,et al. Optimal perfectly matched layers for time-harmonic acoustic scattering problems , 2006 .
[45] Alfredo Bermúdez,et al. An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems , 2007, SIAM J. Sci. Comput..